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math.RT2026
Monoidal adjunctions and abelian envelopes
Johannes Flake, Robert Laugwitz, Sebastian Posur
We show how monoidal adjunctions can be used to prove the existence of monoidal abelian envelopes of pseudo-tensor categories, in particular, those admitting a combinatorial descri…
math.RT2025
Pretriangulated 2-representations via dg algebra 1-morphisms
Robert Laugwitz, Vanessa Miemietz
This paper develops a theory of pretriangulated 2-representations of dg 2-categories. We characterize cyclic pretriangulated 2-representations, under certain compactness assumption…
math.RT2025
Differential graded cell 2-representations
Robert Laugwitz, Vanessa Miemietz
This article develops a theory of cell combinatorics and cell 2-representations for differential graded 2-categories. We introduce two types of partial preorders, called the strong…